A Global Geometric Decomposition of Vector Fields and Applications to Topological Conjugacy
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00258-0
Abstract: We give a global geometric decomposition of continuously differentiable vector fields on R n $\mathbb{R}^{n}$ . More precisely, given a vector field of class C 1 $\mathcal{C}^{1}$ on R n $\mathbb{R}^{n}$ , and a geometric… read more here.
Keywords: vector; vector field; vector fields; decomposition ... See more keywords
On Topological Classification of Gradient-like Flows on an $$n$$ -sphere in the Sense of Topological Conjugacy
Sign Up to like & getrecommendations! Published in 2020 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354720060143
Abstract: In this paper, we study gradient-like flows without heteroclinic intersections on an $$n$$ -sphere up to topological conjugacy. We prove that such a flow is completely defined by a bicolor tree corresponding to a skeleton… read more here.
Keywords: like flows; topological classification; topological conjugacy; gradient ... See more keywords